In this survey we deal with the location of hyperplanes in n{ dimensional normed spaces, i.e., we present all known results and a unifying approach to the so-called median hyperplane problem in Minkowski spaces. We describe how to nd a hyperplane H minimizing the weighted sum f(H) of distances to a given, nite set of demand points. In robust statistics and operations research such an optimal hy...

In this report we show some simple properties of SVM for regression. In particular we show that for close to zero, minimizing the norm of w is equivalent to maximizing the distance between the optimal approximating hyperplane solution of SVMR and the closest points in the data set. So, in this case, there exists a complete analogy between SVM for regression and classiication, and the-tube plays...